100990259470881 has 135 divisors (see below), whose sum is σ = 167982809858017. Its totient is φ = 60419350545840.

The previous prime is 100990259470873. The next prime is 100990259470909. The reversal of 100990259470881 is 188074952099001.

The square root of 100990259470881 is 10049391.

It is a perfect power (a square), and thus also a powerful number.

100990259470881 is a `hidden beast` number, since 100 + 9 + 9 + 0 + 2 + 59 + 470 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 100990259470881 - 2³ = 100990259470873 is a prime.

It is a super-2 number, since 2×100990259470881² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100990259470801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 82575845236 + ... + 82575846458.

Almost surely, 2^{100990259470881} is an apocalyptic number.

100990259470881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100990259470881 is the 10049391-st square number.

100990259470881 is the 5024696-th centered octagonal number.

It is an amenable number.

100990259470881 is a deficient number, since it is larger than the sum of its proper divisors (66992550387136).

100990259470881 is an frugal number, since it uses more digits than its factorization.

100990259470881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 100990259470881 in words is "one hundred trillion, nine hundred ninety billion, two hundred fifty-nine million, four hundred seventy thousand, eight hundred eighty-one".